id sid tid token lemma pos zk51vd69f89 1 1 distributed distribute VERB zk51vd69f89 1 2 control control NOUN zk51vd69f89 1 3 of of ADP zk51vd69f89 1 4 multi multi ADJ zk51vd69f89 1 5 - - ADJ zk51vd69f89 1 6 agent agent ADJ zk51vd69f89 1 7 systems system NOUN zk51vd69f89 1 8 is be AUX zk51vd69f89 1 9 known know VERB zk51vd69f89 1 10 to to PART zk51vd69f89 1 11 be be AUX zk51vd69f89 1 12 a a DET zk51vd69f89 1 13 difficult difficult ADJ zk51vd69f89 1 14 problem problem NOUN zk51vd69f89 1 15 . . PUNCT zk51vd69f89 2 1 in in ADP zk51vd69f89 2 2 this this DET zk51vd69f89 2 3 dissertation dissertation NOUN zk51vd69f89 2 4 , , PUNCT zk51vd69f89 2 5 we we PRON zk51vd69f89 2 6 study study VERB zk51vd69f89 2 7 two two NUM zk51vd69f89 2 8 challenges challenge NOUN zk51vd69f89 2 9 that that PRON zk51vd69f89 2 10 make make VERB zk51vd69f89 2 11 the the DET zk51vd69f89 2 12 problem problem NOUN zk51vd69f89 2 13 difficult difficult ADJ zk51vd69f89 2 14 : : PUNCT zk51vd69f89 2 15 ( ( PUNCT zk51vd69f89 2 16 i i NOUN zk51vd69f89 2 17 ) ) PUNCT zk51vd69f89 2 18 stabilizing stabilize VERB zk51vd69f89 2 19 the the DET zk51vd69f89 2 20 multi multi ADJ zk51vd69f89 2 21 - - ADJ zk51vd69f89 2 22 agent agent ADJ zk51vd69f89 2 23 system system NOUN zk51vd69f89 2 24 with with ADP zk51vd69f89 2 25 limited limited ADJ zk51vd69f89 2 26 information information NOUN zk51vd69f89 2 27 sharing sharing NOUN zk51vd69f89 2 28 among among ADP zk51vd69f89 2 29 the the DET zk51vd69f89 2 30 agents agent NOUN zk51vd69f89 2 31 and and CCONJ zk51vd69f89 2 32 ( ( PUNCT zk51vd69f89 2 33 ii ii PROPN zk51vd69f89 2 34 ) ) PUNCT zk51vd69f89 2 35 incentivizing incentivize VERB zk51vd69f89 2 36 the the DET zk51vd69f89 2 37 actions action NOUN zk51vd69f89 2 38 of of ADP zk51vd69f89 2 39 the the DET zk51vd69f89 2 40 agents agent NOUN zk51vd69f89 2 41 to to PART zk51vd69f89 2 42 align align VERB zk51vd69f89 2 43 with with ADP zk51vd69f89 2 44 the the DET zk51vd69f89 2 45 desired desire VERB zk51vd69f89 2 46 team team NOUN zk51vd69f89 2 47 objective objective NOUN zk51vd69f89 2 48 . . PUNCT zk51vd69f89 3 1 in in ADP zk51vd69f89 3 2 the the DET zk51vd69f89 3 3 first first ADJ zk51vd69f89 3 4 set set NOUN zk51vd69f89 3 5 of of ADP zk51vd69f89 3 6 problems problem NOUN zk51vd69f89 3 7 , , PUNCT zk51vd69f89 3 8 we we PRON zk51vd69f89 3 9 consider consider VERB zk51vd69f89 3 10 a a DET zk51vd69f89 3 11 large large ADJ zk51vd69f89 3 12 scale scale NOUN zk51vd69f89 3 13 system system NOUN zk51vd69f89 3 14 in in ADP zk51vd69f89 3 15 which which PRON zk51vd69f89 3 16 various various ADJ zk51vd69f89 3 17 components component NOUN zk51vd69f89 3 18 such such ADJ zk51vd69f89 3 19 as as ADP zk51vd69f89 3 20 sensors sensor NOUN zk51vd69f89 3 21 , , PUNCT zk51vd69f89 3 22 controllers controller NOUN zk51vd69f89 3 23 and and CCONJ zk51vd69f89 3 24 actuators actuator NOUN zk51vd69f89 3 25 are be AUX zk51vd69f89 3 26 interconnected interconnect VERB zk51vd69f89 3 27 by by ADP zk51vd69f89 3 28 communication communication NOUN zk51vd69f89 3 29 networks network NOUN zk51vd69f89 3 30 . . PUNCT zk51vd69f89 4 1 it it PRON zk51vd69f89 4 2 is be AUX zk51vd69f89 4 3 known know VERB zk51vd69f89 4 4 that that SCONJ zk51vd69f89 4 5 the the DET zk51vd69f89 4 6 stabilization stabilization NOUN zk51vd69f89 4 7 of of ADP zk51vd69f89 4 8 such such DET zk51vd69f89 4 9 a a DET zk51vd69f89 4 10 distributed distribute VERB zk51vd69f89 4 11 system system NOUN zk51vd69f89 4 12 is be AUX zk51vd69f89 4 13 affected affect VERB zk51vd69f89 4 14 by by ADP zk51vd69f89 4 15 the the DET zk51vd69f89 4 16 limits limit NOUN zk51vd69f89 4 17 imposed impose VERB zk51vd69f89 4 18 by by ADP zk51vd69f89 4 19 the the DET zk51vd69f89 4 20 communication communication NOUN zk51vd69f89 4 21 channels channel NOUN zk51vd69f89 4 22 such such ADJ zk51vd69f89 4 23 as as ADP zk51vd69f89 4 24 data datum NOUN zk51vd69f89 4 25 erasures erasure NOUN zk51vd69f89 4 26 , , PUNCT zk51vd69f89 4 27 limited limited ADJ zk51vd69f89 4 28 data data NOUN zk51vd69f89 4 29 rate rate NOUN zk51vd69f89 4 30 and and CCONJ zk51vd69f89 4 31 delays delay NOUN zk51vd69f89 4 32 , , PUNCT zk51vd69f89 4 33 etc etc X zk51vd69f89 4 34 . . X zk51vd69f89 5 1 we we PRON zk51vd69f89 5 2 begin begin VERB zk51vd69f89 5 3 by by ADP zk51vd69f89 5 4 considering consider VERB zk51vd69f89 5 5 the the DET zk51vd69f89 5 6 data datum NOUN zk51vd69f89 5 7 erasure erasure NOUN zk51vd69f89 5 8 effect effect NOUN zk51vd69f89 5 9 of of ADP zk51vd69f89 5 10 the the DET zk51vd69f89 5 11 communication communication NOUN zk51vd69f89 5 12 network network NOUN zk51vd69f89 5 13 . . PUNCT zk51vd69f89 6 1 by by ADP zk51vd69f89 6 2 combining combine VERB zk51vd69f89 6 3 tools tool NOUN zk51vd69f89 6 4 from from ADP zk51vd69f89 6 5 control control NOUN zk51vd69f89 6 6 theory theory NOUN zk51vd69f89 6 7 , , PUNCT zk51vd69f89 6 8 network network NOUN zk51vd69f89 6 9 theory theory NOUN zk51vd69f89 6 10 and and CCONJ zk51vd69f89 6 11 information information NOUN zk51vd69f89 6 12 theory theory NOUN zk51vd69f89 6 13 , , PUNCT zk51vd69f89 6 14 we we PRON zk51vd69f89 6 15 provide provide VERB zk51vd69f89 6 16 a a DET zk51vd69f89 6 17 systematic systematic ADJ zk51vd69f89 6 18 study study NOUN zk51vd69f89 6 19 of of ADP zk51vd69f89 6 20 both both CCONJ zk51vd69f89 6 21 explicit explicit ADJ zk51vd69f89 6 22 and and CCONJ zk51vd69f89 6 23 implicit implicit ADJ zk51vd69f89 6 24 information information NOUN zk51vd69f89 6 25 flow flow NOUN zk51vd69f89 6 26 networks network NOUN zk51vd69f89 6 27 in in ADP zk51vd69f89 6 28 the the DET zk51vd69f89 6 29 system system NOUN zk51vd69f89 6 30 and and CCONJ zk51vd69f89 6 31 provide provide VERB zk51vd69f89 6 32 necessary necessary ADJ zk51vd69f89 6 33 and and CCONJ zk51vd69f89 6 34 sufficient sufficient ADJ zk51vd69f89 6 35 stabilizability stabilizability NOUN zk51vd69f89 6 36 conditions condition NOUN zk51vd69f89 6 37 . . PUNCT zk51vd69f89 7 1 then then ADV zk51vd69f89 7 2 , , PUNCT zk51vd69f89 7 3 we we PRON zk51vd69f89 7 4 model model VERB zk51vd69f89 7 5 the the DET zk51vd69f89 7 6 communication communication NOUN zk51vd69f89 7 7 network network NOUN zk51vd69f89 7 8 as as ADP zk51vd69f89 7 9 a a DET zk51vd69f89 7 10 gaussian gaussian ADJ zk51vd69f89 7 11 multi multi NOUN zk51vd69f89 7 12 - - NOUN zk51vd69f89 7 13 user user ADJ zk51vd69f89 7 14 channel channel NOUN zk51vd69f89 7 15 and and CCONJ zk51vd69f89 7 16 obtain obtain VERB zk51vd69f89 7 17 the the DET zk51vd69f89 7 18 rate rate NOUN zk51vd69f89 7 19 regions region NOUN zk51vd69f89 7 20 of of ADP zk51vd69f89 7 21 stabilizability stabilizability NOUN zk51vd69f89 7 22 for for ADP zk51vd69f89 7 23 two two NUM zk51vd69f89 7 24 systems system NOUN zk51vd69f89 7 25 controlled control VERB zk51vd69f89 7 26 over over ADP zk51vd69f89 7 27 gaussian gaussian ADJ zk51vd69f89 7 28 multiple multiple ADJ zk51vd69f89 7 29 access access NOUN zk51vd69f89 7 30 channels channel NOUN zk51vd69f89 7 31 ( ( PUNCT zk51vd69f89 7 32 mac mac PROPN zk51vd69f89 7 33 ) ) PUNCT zk51vd69f89 7 34 . . PUNCT zk51vd69f89 8 1 in in ADP zk51vd69f89 8 2 the the DET zk51vd69f89 8 3 second second ADJ zk51vd69f89 8 4 half half NOUN zk51vd69f89 8 5 of of ADP zk51vd69f89 8 6 the the DET zk51vd69f89 8 7 dissertation dissertation NOUN zk51vd69f89 8 8 , , PUNCT zk51vd69f89 8 9 we we PRON zk51vd69f89 8 10 study study VERB zk51vd69f89 8 11 the the DET zk51vd69f89 8 12 design design NOUN zk51vd69f89 8 13 of of ADP zk51vd69f89 8 14 markets market NOUN zk51vd69f89 8 15 for for ADP zk51vd69f89 8 16 various various ADJ zk51vd69f89 8 17 agents agent NOUN zk51vd69f89 8 18 in in ADP zk51vd69f89 8 19 a a DET zk51vd69f89 8 20 multi multi ADJ zk51vd69f89 8 21 - - ADJ zk51vd69f89 8 22 agent agent ADJ zk51vd69f89 8 23 system system NOUN zk51vd69f89 8 24 to to PART zk51vd69f89 8 25 incentivize incentivize VERB zk51vd69f89 8 26 their their PRON zk51vd69f89 8 27 actions action NOUN zk51vd69f89 8 28 to to PART zk51vd69f89 8 29 be be AUX zk51vd69f89 8 30 aligned align VERB zk51vd69f89 8 31 with with ADP zk51vd69f89 8 32 the the DET zk51vd69f89 8 33 social social ADJ zk51vd69f89 8 34 planner planner NOUN zk51vd69f89 8 35 's 's PART zk51vd69f89 8 36 objective objective NOUN zk51vd69f89 8 37 . . PUNCT zk51vd69f89 9 1 for for ADP zk51vd69f89 9 2 concreteness concreteness NOUN zk51vd69f89 9 3 , , PUNCT zk51vd69f89 9 4 we we PRON zk51vd69f89 9 5 focus focus VERB zk51vd69f89 9 6 on on ADP zk51vd69f89 9 7 the the DET zk51vd69f89 9 8 design design NOUN zk51vd69f89 9 9 of of ADP zk51vd69f89 9 10 markets market NOUN zk51vd69f89 9 11 for for ADP zk51vd69f89 9 12 plug plug NOUN zk51vd69f89 9 13 - - PUNCT zk51vd69f89 9 14 in in ADP zk51vd69f89 9 15 electric electric ADJ zk51vd69f89 9 16 vehicle vehicle NOUN zk51vd69f89 9 17 charging charge VERB zk51vd69f89 9 18 infrastructure infrastructure NOUN zk51vd69f89 9 19 . . PUNCT zk51vd69f89 10 1 first first ADV zk51vd69f89 10 2 , , PUNCT zk51vd69f89 10 3 we we PRON zk51vd69f89 10 4 set set VERB zk51vd69f89 10 5 up up ADP zk51vd69f89 10 6 the the DET zk51vd69f89 10 7 problem problem NOUN zk51vd69f89 10 8 of of ADP zk51vd69f89 10 9 locations location NOUN zk51vd69f89 10 10 and and CCONJ zk51vd69f89 10 11 price price NOUN zk51vd69f89 10 12 optimization optimization NOUN zk51vd69f89 10 13 for for ADP zk51vd69f89 10 14 commercial commercial ADJ zk51vd69f89 10 15 charging charge VERB zk51vd69f89 10 16 stations station NOUN zk51vd69f89 10 17 . . PUNCT zk51vd69f89 11 1 we we PRON zk51vd69f89 11 2 model model VERB zk51vd69f89 11 3 the the DET zk51vd69f89 11 4 problem problem NOUN zk51vd69f89 11 5 as as ADP zk51vd69f89 11 6 a a DET zk51vd69f89 11 7 static static ADJ zk51vd69f89 11 8 price price NOUN zk51vd69f89 11 9 competition competition NOUN zk51vd69f89 11 10 between between ADP zk51vd69f89 11 11 competing compete VERB zk51vd69f89 11 12 charging charge VERB zk51vd69f89 11 13 stations station NOUN zk51vd69f89 11 14 with with ADP zk51vd69f89 11 15 the the DET zk51vd69f89 11 16 customers customer NOUN zk51vd69f89 11 17 deciding decide VERB zk51vd69f89 11 18 among among ADP zk51vd69f89 11 19 the the DET zk51vd69f89 11 20 stations station NOUN zk51vd69f89 11 21 based base VERB zk51vd69f89 11 22 on on ADP zk51vd69f89 11 23 their their PRON zk51vd69f89 11 24 own own ADJ zk51vd69f89 11 25 utility utility NOUN zk51vd69f89 11 26 function function NOUN zk51vd69f89 11 27 . . PUNCT zk51vd69f89 12 1 a a DET zk51vd69f89 12 2 two two NUM zk51vd69f89 12 3 - - PUNCT zk51vd69f89 12 4 level level NOUN zk51vd69f89 12 5 hierarchical hierarchical ADJ zk51vd69f89 12 6 game game NOUN zk51vd69f89 12 7 is be AUX zk51vd69f89 12 8 formulated formulate VERB zk51vd69f89 12 9 to to PART zk51vd69f89 12 10 study study VERB zk51vd69f89 12 11 the the DET zk51vd69f89 12 12 selfish selfish ADJ zk51vd69f89 12 13 routing routing NOUN zk51vd69f89 12 14 of of ADP zk51vd69f89 12 15 the the DET zk51vd69f89 12 16 customers customer NOUN zk51vd69f89 12 17 as as ADP zk51vd69f89 12 18 a a DET zk51vd69f89 12 19 lower low ADJ zk51vd69f89 12 20 - - PUNCT zk51vd69f89 12 21 level level NOUN zk51vd69f89 12 22 congestion congestion NOUN zk51vd69f89 12 23 game game NOUN zk51vd69f89 12 24 and and CCONJ zk51vd69f89 12 25 the the DET zk51vd69f89 12 26 pricing pricing NOUN zk51vd69f89 12 27 games game NOUN zk51vd69f89 12 28 between between ADP zk51vd69f89 12 29 stations station NOUN zk51vd69f89 12 30 as as ADP zk51vd69f89 12 31 the the DET zk51vd69f89 12 32 upper upper ADJ zk51vd69f89 12 33 - - PUNCT zk51vd69f89 12 34 level level NOUN zk51vd69f89 12 35 game game NOUN zk51vd69f89 12 36 . . PUNCT zk51vd69f89 13 1 we we PRON zk51vd69f89 13 2 characterize characterize VERB zk51vd69f89 13 3 the the DET zk51vd69f89 13 4 existence existence NOUN zk51vd69f89 13 5 and and CCONJ zk51vd69f89 13 6 properties property NOUN zk51vd69f89 13 7 of of ADP zk51vd69f89 13 8 the the DET zk51vd69f89 13 9 static static ADJ zk51vd69f89 13 10 equilibrium equilibrium NOUN zk51vd69f89 13 11 solution solution NOUN zk51vd69f89 13 12 . . PUNCT zk51vd69f89 14 1 the the DET zk51vd69f89 14 2 second second ADJ zk51vd69f89 14 3 problem problem NOUN zk51vd69f89 14 4 addresses address VERB zk51vd69f89 14 5 the the DET zk51vd69f89 14 6 pricing pricing NOUN zk51vd69f89 14 7 of of ADP zk51vd69f89 14 8 electric electric ADJ zk51vd69f89 14 9 vehicle vehicle NOUN zk51vd69f89 14 10 charging charge VERB zk51vd69f89 14 11 trajectories trajectory NOUN zk51vd69f89 14 12 by by ADP zk51vd69f89 14 13 the the DET zk51vd69f89 14 14 charging charge VERB zk51vd69f89 14 15 station station NOUN zk51vd69f89 14 16 owner owner NOUN zk51vd69f89 14 17 when when SCONJ zk51vd69f89 14 18 some some DET zk51vd69f89 14 19 electric electric ADJ zk51vd69f89 14 20 vehicles vehicle NOUN zk51vd69f89 14 21 can can AUX zk51vd69f89 14 22 offer offer VERB zk51vd69f89 14 23 the the DET zk51vd69f89 14 24 added add VERB zk51vd69f89 14 25 flexibility flexibility NOUN zk51vd69f89 14 26 of of ADP zk51vd69f89 14 27 temporary temporary ADJ zk51vd69f89 14 28 discharge discharge NOUN zk51vd69f89 14 29 . . PUNCT zk51vd69f89 15 1 we we PRON zk51vd69f89 15 2 obtain obtain VERB zk51vd69f89 15 3 the the DET zk51vd69f89 15 4 competitive competitive ADJ zk51vd69f89 15 5 equilibrium equilibrium NOUN zk51vd69f89 15 6 solution solution NOUN zk51vd69f89 15 7 of of ADP zk51vd69f89 15 8 the the DET zk51vd69f89 15 9 charging charge VERB zk51vd69f89 15 10 rate rate NOUN zk51vd69f89 15 11 profiles profile NOUN zk51vd69f89 15 12 and and CCONJ zk51vd69f89 15 13 service service NOUN zk51vd69f89 15 14 price price NOUN zk51vd69f89 15 15 profile profile NOUN zk51vd69f89 15 16 . . PUNCT zk51vd69f89 16 1 this this DET zk51vd69f89 16 2 equilibrium equilibrium NOUN zk51vd69f89 16 3 in in ADP zk51vd69f89 16 4 the the DET zk51vd69f89 16 5 dynamic dynamic ADJ zk51vd69f89 16 6 setting setting NOUN zk51vd69f89 16 7 is be AUX zk51vd69f89 16 8 later later ADV zk51vd69f89 16 9 extended extend VERB zk51vd69f89 16 10 to to PART zk51vd69f89 16 11 consider consider VERB zk51vd69f89 16 12 a a DET zk51vd69f89 16 13 scenario scenario NOUN zk51vd69f89 16 14 closer close ADV zk51vd69f89 16 15 to to ADP zk51vd69f89 16 16 stackelberg stackelberg PROPN zk51vd69f89 16 17 game game PROPN zk51vd69f89 16 18 . . PUNCT zk51vd69f89 17 1 social social ADJ zk51vd69f89 17 2 welfare welfare NOUN zk51vd69f89 17 3 of of ADP zk51vd69f89 17 4 each each DET zk51vd69f89 17 5 equilibrium equilibrium NOUN zk51vd69f89 17 6 is be AUX zk51vd69f89 17 7 also also ADV zk51vd69f89 17 8 evaluated evaluate VERB zk51vd69f89 17 9 . . PUNCT